논문KCI 등재
RELATIONS BETWEEN QUATERNIONIC DIFFERENTIAL AND THE CORRESPONDING CAUCHY RIEMANN SYSTEM
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In this paper, we investigate several properties of quaternionicfunctions. We research some differentials of quaternionic functions, andrelations between the differentials and the corresponding Cauchy Riemannsystem in Clifford analysis.
Abstract
In this paper, we investigate several properties of quaternionicfunctions. We research some differentials of quaternionic functions, andrelations between the differentials and the corresponding Cauchy Riemannsystem in Clifford analysis.
참고문헌 (10)
- M. E. Luna-Elizarraras, "A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis", Milan J. Math, 79, pp.521~542 (2011)
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- 정현석, "Structures of Hyperholomorphic Functions on Dual Quaternion Numbers", 호남수학학술지, 35(4), pp.809~817 (2013), 호남수학회
- 강한울, "Relations of L-regular functions on quaternions in Clifford analysis", East Asian Mathematical Journal, 31(5), pp.667~675 (2015), 영남수학회[DOI]
- 강한울, "Several properties of Quaternionic regular functions in Clifford Analysis", 호남수학학술지, 37(4), pp.569~575 (2015), 호남수학회
- J. E. Kim, "Regular functions with values in ternary number system on the complex Clifford analysis", Abstr. Appl. Anal., pp.7~ (2013)
- J. E. Kim, "Regularity of functions on the reduced quaternion field in Clifford analysis", Abstr. Appl. Anal., pp.8~ (2014)
- H. Koriyama, "Hyperholomorphic functions and holomorphic func-tions in quaternionic analysis", Bull. of Fukuoka Univ. of Edu., 60, pp.1~9 (2011)
- M. Naser, "Hyperholomorphic functio", Siberian Math. J., 12, pp.959~968 (1971)
- K. Nono, "On two approaches to regular function theory complex Clifford analysis", Bull. of Fukuoka Univ. of Edu., 44, pp.1~13 (1995)
관련 논문AI추천
Relations of L-regular functions on quaternions in Clifford analysis강한울, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호CHARACTERIZATIONS OF SEVERAL SPLIT REGULAR FUNCTIONS ON SPLIT QUATERNION IN CLIFFORD ANALYSIS강한울, 손광호, 조정영영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호Characterization of a regular function with values in dual quaternions김지은, 손광호한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제1호A polar representation of a regularity of a dual quaternionic function in Clifford analysis김지은, 손광호대한수학회 · 대한수학회보2017 · 제54권 제2호Properties of regular functions with values in bicomplex numbers김지은, 손광호대한수학회 · 대한수학회보2016 · 제53권 제2호Hypermeromorphy of functions on split quaternions in Clifford analysis김지은, 손광호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호
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